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lbvjy [14]
3 years ago
10

Please help. what is the quotient of 4m^12/x-1÷x^2/8m^3 assume x ≠ 0 and m≠0

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

Answer:

\frac{32m^{15}}{x^3-x^2}

Step-by-step explanation:

The given expression is: \frac{4m^{12}}{x-1}\div \frac{x^2}{8m^3}

We multiply by the reciprocal of the second fraction:

\frac{4m^{12}}{x-1}\times \frac{8m^3}{x^2}

We cancel out the common factors to get;

\frac{32m^{12+3}}{x^2(x-1)}, where x\ne0 and m\ne0

We simplify to get:

\frac{32m^{15}}{x^3-x^2}

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60 ft/s = ____km/h I don't know how to convert feet to kilometers.
kondor19780726 [428]
Well to convert feet into km you have to know that 1 feet = 0.0003048 km

knowing that you multiply the km by 60 which gives you..... 0.018288 km 

7 0
3 years ago
You plan to buy holiday gifts for your coworkers. You want to buy 3 candles that cost $12.32 after tax and 2 packs of stationary
Alex_Xolod [135]

Answer:

\:

For 3 candles cost $12.32

for 1 , Divide cost from 3

→ 12.32 ÷ 3

» 4.10 for each candle

for 2 packs of stationary cost $8.78

→ 8.78 ÷ 2

» 4.39 for each stationary pack

Total Spending (including tax)

→ 12.32 + 8.78

→ $ 21.10

6 0
2 years ago
In one day, The Tool Shed rented out 25 self-propelled and riding mowers for a total fee of $900. The dolly rental cost was $20
masha68 [24]

They rented out 5 self-propelled mowers and 20 riding mowers.

Data;

  • Total number of tool rented out = 25
  • Cost of tools rented = $900

<h3>System of Equations</h3>

To solve this problem, we have to write a system of equations to represent the problem.

since we have

  • x = self - propelled mower
  • y = riding mowers

Let's write equations with these variables.

x+y = 25...equation (i)\\20x+40y = 900...equation(ii)

From equation (i)

x+y= 25\\x = 25 - y...equation(iii)

Put equation (iii) into equation (ii)

20x+40y=900\\x = 25-y\\20(25-y)+40y=900\\\\500-20y+40y=900\\500+20y=900\\20y=900-500\\20y=400\\\frac{20y}{20}=\frac{400}{20}\\ y=20

Let's substitute the value of y into equation(i)

x+y =25\\x+20 = 25\\x = 25 - 20\\x = 5

From the calculations above, they rented 5 self-propelled mowers and 20 riding mowers.

Learn more on system of equations here;

brainly.com/question/13729904

4 0
2 years ago
Find Lm=<br> Help me please thanks
Ymorist [56]

A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,

MN = r

Now, the length of arc MN can be written as,

2 × π × r × (60° /360°) = π

r = 360 / (60 × 2)

r = 3 cms

Further, the radius of the circle can be written as,

LO = ON = OM = MN = Radius = 3 cms

Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,

LM² + MN² = LN²

LM² + MN² = (LO + ON)²

LM² + r² = (r+r)²

LM² + r² = 4r²

LM² = 3r²

LM² = 3(3²)

LM = √27 cms

LM = 3√3 cms

Hence, the length of LM is 3√3 cms.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

4 0
2 years ago
Tickets to the school dance cost $3.00 in advance or $5.00 at the door. There were a total of 184 tickets sold, raising $688. Ho
GenaCL600 [577]
Answer: They sold 68 tickets at the door
688-920= -2x= -232
2x=232/2=116
184-116=68
5 0
3 years ago
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